This paper surveys some recent results about Fourier--Mukai functors. In particular, given an exact functor between the bounded derived categories of coherent sheaves on two smooth projective varieties, we deal with the question whether this functor is of Fourier--Mukai type. Several related questions are answered and many open problems are stated.
Fourier–Mukai functors: a survey / A. Canonaco, P. Stellari - In: Derived categories in algebraic geometry / [a cura di] Y. Kawamata. - [s.l] : European mathematical society, 2013 Jan. - ISBN 978-3-03719-115-6. - pp. 27-60 [10.4171/115-1/2]
Fourier–Mukai functors: a survey
P. StellariUltimo
2013
Abstract
This paper surveys some recent results about Fourier--Mukai functors. In particular, given an exact functor between the bounded derived categories of coherent sheaves on two smooth projective varieties, we deal with the question whether this functor is of Fourier--Mukai type. Several related questions are answered and many open problems are stated.File in questo prodotto:
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